, Software sensors for higly uncertain WWTPs: a new approach based on intervals observers, vol.36, pp.2515-2524, 2002.
A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates, Biotechnology and Bioengineering, vol.10, pp.707-723, 1968. ,
On-line estimation and adaptive control of bioreactors, 1990. ,
Closed loop observers bundle for uncertain biotechnological models, Journal of Process Control, vol.14, issue.7, pp.765-774, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00071676
Observers for the biotechnological processes with unknown kinetics. Application to wastewater treatment, Proceedings of the 39th IEEE Conference on Decision and Control, 2000. ,
Biomass Estimation for an Anaerobic Bioprocess Using Interval Observer In: Proceedings of the 3rd International on Intelligent Decision Technologies (IDT'2011), Smart Innovation, Systems and Technologies, pp.95-102, 2011. ,
Automatic Control of Bioprocesses. (Editor) Control Systems, Robotics and Manufacturing series, 2008. ,
Interval state observer for nonlinear time varying systems, Automatica, vol.49, issue.1, pp.200-205, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00719911
Bioprocess State Estimation: Some Classical and Less Classical Approaches. In: Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems, pp.111-128, 2005. ,
Continuousdiscrete interval observers for monitoring microalgae cultures, Biotechnology progress, vol.25, issue.3, pp.667-675, 2009. ,
Dynamic System Identification, Experiment Design and Data Analysis, 1977. ,
Model-based design of optimal experiments for nonlinear systems in the context of guaranteed parameter estimation, Computers & Chemical Engineering, vol.99, 2017. ,
Interval observers for uncertain biological systems, Ecological modelling, vol.133, pp.45-56, 2000. ,
A note on interval observer design for unknown input estimation, Int. J. Control, vol.89, issue.1, pp.25-37, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01158918
Estimation of uncertain models of activated sludge processes with interval observers, Journal of Process Control, vol.11, issue.3, pp.299-310, 2001. ,
The chemostat, mathematical theory of continuous culture of micro-organisms, 2017. ,
Nonlinear Bounded-Error State Estimation of Continuous-Time Systems, Automatica, vol.38, issue.6, pp.1079-1082, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00845483
Applied Interval Analysis: with examples in parameter and state estimation, robust control and robotics, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00845131
Guaranteed nonlinear parameter estimation from bounded-error data via interval analysis, Mathematics and computers in simulation, vol.35, pp.123-137, 1993. ,
Guaranteed robust nonlinear parameter bounding, CESA'96 IMACS Multiconference Symposium on Modelling, Analysis and Simulation, vol.2, pp.1156-1161, 1996. ,
Guaranteed nonlinear state estimator for cooperative systems, Numerical Algorithms, vol.37, pp.187-198, 2004. ,
Guaranteed non-linear parameter estimation for continuous-time dynamical models, Proceedings 14th IFAC Symposium on System Identification, pp.843-848, 2006. ,
Demonstration of facilitation between microalgae to face ammonia toxicity, Research report hal, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02162562
A Tutorial on Monotone Systems -With an Application to Chemical Reaction Networks, Proc. 16th Int. Symp. Macd thematical Theory of Networks and Systems (MTNS), 2004. ,
Computation of guaranteed enclosures for the solutions of ordinary initial and boundary value-problem, Computational Ordinary Differential Equations, pp.425-435, 1992. ,
Interval observer-based estimator of specific growth rate in bioreactors, Journal Européen des Systèmes Automatisés (JESA), vol.44, issue.4-5, pp.493-507, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00847295
Set membership experimental design for biological systems, BMC systems biology, 2012. ,
ISS interval observers for nonlinear systems transformed into triangular systems, Int. J. Robust Nonlinear Control, vol.24, issue.7, pp.1241-1261, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01088143
Interval Observers for Uncertain Nonlinear Systems. Application to Bioreactors, The International Federation of Automatic Control Seoul (Korea), pp.9667-9672, 2008. ,
Approximation garantie de l'espace d'état atteignable des systémes dynamiques continus incertains. Encadrement par intervalle de flot d'état, Journal Euroéen des Systémes Automatisés (JESA), vol.43, pp.589-614, 2009. ,
Using hybrid automata for set-membership state estimation with uncertain nonlinear continuous-time systems, Journal of Process Control, vol.20, pp.481-489, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00629908
Properties of least squares estimates in set membership identification, Automatica, vol.31, pp.327-332, 1995. ,
Interval observers for non monotone systems. Application to bioprocess models, IFAC Proceedings, vol.38, issue.1, pp.43-48, 2005. ,
Near optimal interval observers bundle for uncertain bioreactors, Automatica, vol.45, issue.1, pp.291-295, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01109396
Robust interval observers for global Lipschitz uncertain chaotic systems, Systems & Control Letters, vol.59, issue.11, pp.687-694, 2010. ,
La technique de culture continue, théorie et applications, Ann. Inst. Pasteur, vol.79, pp.390-410, 1950. ,
Interval analysis, 1966. ,
Parameter sets for bounded-error data. Mathematics and Computers in Simulation, vol.34, pp.113-119, 1992. ,
The Dynamics of Bacterial Populations Maintained in the Chemostat, 1958. ,
Uber das Fundamentaltheorem in der Theorie der gewohnlichen Differential-gleichungen, Math. Z, pp.619-645, 1927. ,
Setmembership nonlinear regression approach to parameter estimation, Journal of Process Control, vol.70, pp.80-95, 2018. ,
Interval state estimation for a class of nonlinear systems, IEEE Transactions on Automatic Control, vol.57, issue.1, pp.260-265, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00609510
Set membership state and parameter estimation for systems described by nonlinear differential equations, Automatica, vol.40, issue.10, pp.1771-1777, 2004. ,
Bounded-error moving horizon state estimator for non-linear continuous-time systems : application to a bioprocess system, Journal of Process Control, vol.15, issue.5, pp.537-545, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00321364
Interval observers for biochemical processes with uncertain kinetics and inputs, Mathematical biosciences, vol.193, issue.2, pp.235-253, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-01019721
Robust regulation of a class of partially observed nonlinear continuous bioreactors, Journal of Process Control, vol.12, pp.291-302, 2002. ,
Parallelotopic and practical observers for nonlinear uncertain systems, Int. Journal. Control, vol.76, issue.3, pp.237-251, 2003. ,
Model fitting and uncertainty, In: Modeling Microbial Responses in Food, pp.152-196, 2004. ,
Modeling, Design, and Simulation of Systems with Uncertainties. Mathematical Engineering series, 2011. ,
Determining microbial kinetic parameters using non-linear regression analysis, Adv. Microb. Ecol, vol.8, pp.61-114, 1985. ,
Nonlinear Optimization, 2006. ,
Bounding the solutions of parameter dependent nonlinear ordinary differential equations, SIAM J. Sci. Comput, vol.27, issue.6, pp.2167-2182, 2006. ,
Numerical Data Fitting in Dynamical Systems, A Practical Introduction with Applications and Software, 2002. ,
Monotone Dynamical Systems, 1995. ,
An effective method to interval observer design for time-varying systems, Automatica, vol.50, issue.10, pp.2677-2684, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01650874
, Differential inequalities and maximum principles: theory, new methods and applications. Nonlinear analysis, Theory, Methods and Applications, vol.30, pp.4695-4711, 1997.
Estimation of parameter bounds from bounded-error data: a survey. Mathematics and Computers in Simulation, vol.32, pp.449-468, 1990. ,
Design of interval observer for a class of uncertain unobservable nonlinear systems, Automatica, vol.63, pp.167-174, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01199021